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- Title Pages
- Preface
- 1 Origins I: From the arrow of time to the first quantum field
- 2 Origins II: Gestation and birth of interacting field theory: from Dirac to Shelter Island
- 3 Dynamics I: The physical ingredients of quantum field theory: dynamics, symmetries, scales
- 4 Dynamics II: Quantum mechanical preliminaries
- 5 Dynamics III: Relativistic quantum mechanics
- 6 Dynamics IV: Aspects of locality: clustering, microcausality, and analyticity
- 7 Dynamics V: Construction of local covariant ffields
- 8 Dynamics VI: The classical limit of quantum fields
- 9 Dynamics VII: Interacting fields: general aspects
- 10 Dynamics VIII: Interacting fields: perturbative aspects
- 11 Dynamics IX: Interacting fields: non-perturbative aspects
- 12 Symmetries I: Continuous spacetime symmetry: why we need Lagrangians in field theory
- 13 Symmetries II: Discrete spacetime symmetries
- 14 Symmetries III: Global symmetries in field theory
- 15 Symmetries IV: Local symmetries in field theory
- 16 Scales I: Scale sensitivity of field theory amplitudes and effective field theories
- 17 Scales II: Perturbatively renormalizable field theories
- 18 Scales III: Short-distance structure of quantum field theory
- 19 Scales IV: Long-distance structure of quantum field theory
- Appendix A The functional calculus
- Appendix B Rates and cross-sections
- Appendix C Majorana spinor algebra
- References
- Index

# (p.754) Appendix A The functional calculus

# (p.754) Appendix A The functional calculus

- Source:
- The Conceptual Framework of Quantum Field Theory
- Publisher:
- Oxford University Press

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- Title Pages
- Preface
- 1 Origins I: From the arrow of time to the first quantum field
- 2 Origins II: Gestation and birth of interacting field theory: from Dirac to Shelter Island
- 3 Dynamics I: The physical ingredients of quantum field theory: dynamics, symmetries, scales
- 4 Dynamics II: Quantum mechanical preliminaries
- 5 Dynamics III: Relativistic quantum mechanics
- 6 Dynamics IV: Aspects of locality: clustering, microcausality, and analyticity
- 7 Dynamics V: Construction of local covariant ffields
- 8 Dynamics VI: The classical limit of quantum fields
- 9 Dynamics VII: Interacting fields: general aspects
- 10 Dynamics VIII: Interacting fields: perturbative aspects
- 11 Dynamics IX: Interacting fields: non-perturbative aspects
- 12 Symmetries I: Continuous spacetime symmetry: why we need Lagrangians in field theory
- 13 Symmetries II: Discrete spacetime symmetries
- 14 Symmetries III: Global symmetries in field theory
- 15 Symmetries IV: Local symmetries in field theory
- 16 Scales I: Scale sensitivity of field theory amplitudes and effective field theories
- 17 Scales II: Perturbatively renormalizable field theories
- 18 Scales III: Short-distance structure of quantum field theory
- 19 Scales IV: Long-distance structure of quantum field theory
- Appendix A The functional calculus
- Appendix B Rates and cross-sections
- Appendix C Majorana spinor algebra
- References
- Index